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Finding the Fourth Proportional to 503.68, 756.89 and 260.39

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Solution

The fourth proportional to 503.68, 756.89 and 260.39 is: 391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.68 : 756.89 = 260.39 : x
  2. Step 2: Convert to fraction form
    503.68/756.89 = 260.39/x
  3. Step 3: Cross multiply
    503.68x = 756.89 × 260.39
  4. Step 4: Simplify right side
    503.68x = 197,086.59
  5. Step 5: Solve for x
    x = 197,086.59/503.68
  6. Step 6: Final answer
    x = 391.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.